# MA20217 Algebra 2B

## Tutorial 10

Hereis some additional explanation for the Primary Decomposition Theorem, and a worked example of finding the Jordan Normal Form of a complex linear operator.

# MA20224 Probability 2A

## Tutorial 1

I gave a very shallow recap on some of the basic properties used for problem solving in probability, some of which can be found

here.## Tutorial 3

Here is a rough guide to the general feedback for

Sheet 1.## Tutorial 4

I gave feedback on Sheet 2, and went through a couple of the questions. I then gave a general overview of material covered so far on random walks, and a few hints on Sheet 3. A rough guide can be found

here.## Tutorial 5

I gave feedback on Sheet 3, and went through a couple of the questions. Followed by giving a few hints on Sheet 4. A rough guide can be found

here.## Tutorial 6

Here are some solutions in more detail to

question 3,on problem sheet 4. I gave the usual general feedback on Sheet 4, and then covered some main points to do with the reflection principle and killed random walks. A rough guide can be found

here.## Tutorial 7

I gave feedback on Sheet 5, and went through a couple of the questions. I then gave a brief overview of the convergence of random variables. A rough guide to the material covered can be found

here.## Tutorial 8

I gave feedback on Sheet 6, and went through a couple of the questions. As this week also covered convergence of random variables, I direct students to last weeks guide for more information.

## Tutorial 9

Hand in rate was poor, so no general feedback given. I covered some of the material on conditional expectation. A rough guide to the material covered can be found

here.## Tutorial 10

As usual I gave feedback on sheet 8, and went through a few questions as requested. It was then followed by an outline of the material on branching processes. A rough guide to the material covered can be found

here.## Tutorial 11

I gave feedback on sheet 9, and went through a few questions as requested by the group. It was then followed by an outline of the material on Poisson processes. A rough guide to the material covered can be found

here.